Remarks on the Regularity of Weak Solutions to Some Variational Inequalities.
On the Dirichlet Probelm for Surfaces of Prescribed Mean Curvature.
A Counter-Example to the Boundary Regularity of Solutions to Elliptic Quasilinear Systems.
David Hilbert a variační počet
On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Remarks on the regularity of the minimizers of certain degenerate functionals
The Dirichlet Energy of Mappings with values into the sphere.
Almost-Everywhere Regularity Results for Solutions of Non Linear Elliptic Systems.
Differentiability of Minima of Non-Differentiable Functionals.
Caccioppoli's Inequality and Legendre-Hadamard Condition.
A priori estimates for harmonic mappings.
Partial regularity of minimizers of quasiconvex integrals
Quasi-minima
The BV-energy of maps into a manifold : relaxation and density results
Let be a smooth compact oriented riemannian manifoldwithout boundary, and assume that its -homology group has notorsion. Weak limits of graphs of smooth maps with equibounded total variation give riseto equivalence classes of cartesian currents in for which we introduce a natural-energy.Assume moreover that the first homotopy group of iscommutative. In any dimension we prove that every element in can be approximatedweakly in the sense of currents by a sequence of graphs...
The singular set of the minima of certain quadratic functionals
Weak and strong density results for the Dirichlet energy
Let be a smooth oriented Riemannian manifold which is compact, connected, without boundary and with second homology group without torsion. In this paper we characterize the sequential weak closure of smooth graphs in with equibounded Dirichlet energies, being the unit ball in . More precisely, weak limits of graphs of smooth maps with equibounded Dirichlet integral give rise to elements of the space (cf. [4], [5], [6]). In this paper we prove that every element in is the weak limit...
On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property
Connectivity properties of the range of a weak diffeomorphism
Some remarks about the -Dirichlet integral
We discuss variational problems for the -Dirichlet integral, non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.
Functionals with linear growth in the calculus of variations. II.
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